Average Error: 0.1 → 0.1
Time: 13.9s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[x \cdot 0.5 + \left(\left(1 - z\right) \cdot y + y \cdot \log z\right)\]
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
↓
x \cdot 0.5 + \left(\left(1 - z\right) \cdot y + y \cdot \log z\right)
double f(double x, double y, double z) {
        double r315476 = x;
        double r315477 = 0.5;
        double r315478 = r315476 * r315477;
        double r315479 = y;
        double r315480 = 1.0;
        double r315481 = z;
        double r315482 = r315480 - r315481;
        double r315483 = log(r315481);
        double r315484 = r315482 + r315483;
        double r315485 = r315479 * r315484;
        double r315486 = r315478 + r315485;
        return r315486;
}
↓
double f(double x, double y, double z) {
        double r315487 = x;
        double r315488 = 0.5;
        double r315489 = r315487 * r315488;
        double r315490 = 1.0;
        double r315491 = z;
        double r315492 = r315490 - r315491;
        double r315493 = y;
        double r315494 = r315492 * r315493;
        double r315495 = log(r315491);
        double r315496 = r315493 * r315495;
        double r315497 = r315494 + r315496;
        double r315498 = r315489 + r315497;
        return r315498;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(y + 0.5 \cdot x\right) - y \cdot \left(z - \log z\right)\]

Derivation

  1. Initial program 0.1

    \[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.1

    \[\leadsto x \cdot 0.5 + \color{blue}{\left(y \cdot \left(1 - z\right) + y \cdot \log z\right)}\]

  4. Simplified0.1

    \[\leadsto x \cdot 0.5 + \left(\color{blue}{\left(1 - z\right) \cdot y} + y \cdot \log z\right)\]

  5. Final simplification0.1

    \[\leadsto x \cdot 0.5 + \left(\left(1 - z\right) \cdot y + y \cdot \log z\right)\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x y z)
  :name "System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2"
  :precision binary64

  :herbie-target
  (- (+ y (* 0.5 x)) (* y (- z (log z))))

  (+ (* x 0.5) (* y (+ (- 1 z) (log z)))))